Eur. Phys. J. B 9, 309-314 (1999)
https://doi.org/10.1007/s100510050770

Non-Lorentzian spectral functions for Coulomb quantum kinetics

¹ Universität Rostock, FB Physik, Universitätsplatz 3, 18051 Rostock, Germany
² Institut für Theoretische Physik, Universität Frankfurt, Robert-Mayer Strasse 8-10, 60054 Frankfurt, Germany

Received: 7 August 1998
Published online: 15 May 1999

Abstract

Numerical solutions of the Kadanoff-Baym equations with self-energies in second Born approximation are presented for electrons in a bulk semiconductor. The results are used to analyze in detail the two-time spectral function . In particular, (I) the damping of the spectral function is investigated over a broad density range both, for low and high temperatures; (II), is compared to analytical expressions -an exponential and a recently proposed inverse hyperbolic cosine decay law; (III), the two analytical spectral functions are studied with respect to conservation of total energy, where for the inverse hyperbolic cosine an improved behavior is demonstrated.